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首页> 外文期刊>International journal of non-linear mechanics >Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface
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Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface

机译:具有非线性不完美界面的纤维增强复合材料中的反平面剪切波

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摘要

The propagation of non-linear elastic anti-plane shear waves in a unidirectional fibre-reinforced composite material is studied. A model of structural non-linearity is considered, for which the non-linear behaviour of the composite solid is caused by imperfect bonding at the "fibre-matrix" interface. A macroscopic wave equation accounting for the effects of non-linearity and dispersion is derived using the higher-order asymptotic homogenisation method. Explicit analytical solutions for stationary non-linear strain waves are obtained. This type of non-linearity has a crucial influence on the wave propagation mode: for soft non-linearity, localised shock (kink) waves are developed, while for hard non-linearity localised bell-shaped waves appear. Numerical results are presented and the areas of practical applicability of linear and non-linear, long- and short-wave approaches are discussed. (C) 2014 Elsevier Ltd. All rights reserved.
机译:研究了单向纤维增强复合材料中非线性弹性反平面剪切波的传播。考虑一种结构非线性模型,对于该模型,复合固体的非线性行为是由“纤维-基体”界面处的不完美粘结引起的。使用高阶渐近均匀化方法,导出了考虑非线性和色散影响的宏观波动方程。获得了固定非线性应变波的显式解析解。这种类型的非线性对波的传播模式具有至关重要的影响:对于柔和的非线性,会产生局部冲击(扭结)波,而对于较硬的非线性,则会出现局部钟形波。给出了数值结果,并讨论了线性和非线性,长波和短波方法的实际应用领域。 (C)2014 Elsevier Ltd.保留所有权利。

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